Journal of Online Mathematics and its Applications

Welcome to JOMA (ISSN 1935-6439), now starting its seventh year of publication. We post new material frequently, so come back often to see what's new. If you are looking for back items, use our search tools or click on the Archive link at the left.

Integer Programming Model for the Sudoku Problem Let binary integer linear programming solve Sudoku puzzles and variations on the game for you. Also, learn to prove theorems regarding puzzle creation. Java applets allow for interactive exploration, and exercises and challenge problems are included.		Mountains of Fractals Learn to produce coastlines in 2D and mountains in 2D and 3D by adapting ideas related to the construction of fractals. Introductory mathematical issues in random number generation are discussed. Java applications allow interactive exploration.
The Most Marvelous Theorem in Mathematics Marden's Theorem concerns the relative positions of the roots of a cubic polynomial and those of its derivative. This article gives a proof of Marden's theorem, along with dynamic geometry animations and some of the history of the result.		Modeling Spiral Growth in a GSP Environment This article introduces a mathematical model of spiral growth in a Geometer?s Sketchpad (GSP) environment. The model makes a graphical display of the behaviors observed in nature among many plants such as pinecones, cauliflowers, and sunflowers.
Experiments with Matrices and Vectors in Calculus and Linear Algebra This paper describes a Flash-based OSSLET that we have used at the United States Military Academy with first year calculus students as a vehicle for motivating vectors, matrices, and linear and affine transformations.		Shadows on the Walls: Geometric Interpretation of Fractional Integration This article explores the geometric interpretation of fractional integration with the aid of several animated images.